10618320384 has 720 divisors, whose sum is σ = 38714772096. Its totient is φ = 2786918400.

The previous prime is 10618320371. The next prime is 10618320389. The reversal of 10618320384 is 48302381601.

10618320384 is a `hidden beast` number, since 1 + 0 + 618 + 3 + 2 + 0 + 38 + 4 = 666.

It is a super-2 number, since 2×10618320384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10618320389) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258983404 + ... + 258983444.

Almost surely, 2^10618320384 is an apocalyptic number.

10618320384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10618320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357386048).

10618320384 is an abundant number, since it is smaller than the sum of its proper divisors (28096451712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10618320384 is a wasteful number, since it uses less digits than its factorization.

10618320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10618320384 in words is "ten billion, six hundred eighteen million, three hundred twenty thousand, three hundred eighty-four".